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Finding the Fourth Proportional to 22,777.20, 31,419.90 and 13,343.94

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Solution

The fourth proportional to 22,777.20, 31,419.90 and 13,343.94 is: 18,407.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,777.20 : 31,419.90 = 13,343.94 : x
  2. Step 2: Convert to fraction form
    22,777.20/31,419.90 = 13,343.94/x
  3. Step 3: Cross multiply
    22,777.20x = 31,419.90 × 13,343.94
  4. Step 4: Simplify right side
    22,777.20x = 419,265,260.41
  5. Step 5: Solve for x
    x = 419,265,260.41/22,777.20
  6. Step 6: Final answer
    x = 18,407.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.